Rešite 347*10^22div667*10^-11div6*10^24*15*10^11*15*{10}^11

$$347 \times { 10 }^{ 22 } \div 667 \times { 10 }^{ -11 } \div 6 \times { 10 }^{ 24 } \times 15 \times { 10 }^{ 11 } \times 15 \times { 10 }^{ 11 }$$

Ovrednoti

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}\approx 1,95089955 \cdot 10^{58}$$

Koraki rešitve

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 24 in 11, da dobite 35.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{35}\times 15\times 15\times 10^{11}$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 35 in 11, da dobite 46.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

Izračunajte potenco 10 števila 22, da dobite 10000000000000000000000.

$$\frac{\frac{347\times 10000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

Pomnožite 347 in 10000000000000000000000, da dobite 3470000000000000000000000.

$$\frac{\frac{3470000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

Izračunajte potenco 10 števila -11, da dobite \frac{1}{100000000000}.

$$\frac{\frac{3470000000000000000000000}{667}\times \frac{1}{100000000000}}{6}\times 10^{46}\times 15\times 15$$

Pomnožite \frac{3470000000000000000000000}{667} in \frac{1}{100000000000}, da dobite \frac{34700000000000}{667}.

$$\frac{\frac{34700000000000}{667}}{6}\times 10^{46}\times 15\times 15$$

Izrazite \frac{\frac{34700000000000}{667}}{6} kot enojni ulomek.

$$\frac{34700000000000}{667\times 6}\times 10^{46}\times 15\times 15$$

Pomnožite 667 in 6, da dobite 4002.

$$\frac{34700000000000}{4002}\times 10^{46}\times 15\times 15$$

Zmanjšajte ulomek \frac{34700000000000}{4002} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{17350000000000}{2001}\times 10^{46}\times 15\times 15$$

Izračunajte potenco 10 števila 46, da dobite 10000000000000000000000000000000000000000000000.

$$\frac{17350000000000}{2001}\times 10000000000000000000000000000000000000000000000\times 15\times 15$$

Pomnožite \frac{17350000000000}{2001} in 10000000000000000000000000000000000000000000000, da dobite \frac{173500000000000000000000000000000000000000000000000000000000}{2001}.

$$\frac{173500000000000000000000000000000000000000000000000000000000}{2001}\times 15\times 15$$

Pomnožite \frac{173500000000000000000000000000000000000000000000000000000000}{2001} in 15, da dobite \frac{867500000000000000000000000000000000000000000000000000000000}{667}.

$$\frac{867500000000000000000000000000000000000000000000000000000000}{667}\times 15$$

Pomnožite \frac{867500000000000000000000000000000000000000000000000000000000}{667} in 15, da dobite \frac{13012500000000000000000000000000000000000000000000000000000000}{667}.

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}$$

Faktoriziraj

$$\frac{2 ^ {56} \cdot 3 \cdot 5 ^ {59} \cdot 347}{23 \cdot 29} = 1,950899550224888 \times 10^{58}\frac{535}{667} = 1,950899550224888 \times 10^{58}$$